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Find an equation of the tangent line to the curve $ y = x^4 + 1 $ that is parallel to the line $ 32^x - y = 15. $

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01:26

Frank Lin

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 1

Derivatives of Polynomials and Exponential Functions

Derivatives

Differentiation

Oregon State University

Harvey Mudd College

University of Nottingham

Boston College

Lectures

04:40

In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.

44:57

In mathematics, a differentiation rule is a rule for computing the derivative of a function in one variable. Many differentiation rules can be expressed as a product rule.

03:38

Find an equation of the ta…

03:26

find points on the curve y…

07:11

Find equations of both lin…

01:11

01:35

04:02

Find the equation of the t…

it's clear. So what? You're in here so we have 32 X minus Y is equal to 15. This is equal to the slope. So we need to find an X file. You for rich d of why Over D. If X is equal to 32 so do you. I already excess cool too for X Cube equal to 32. When we get X is equal to two, we plug it into why and we got 17. So we get to calm. A 17 is the point which the tension passes through. Why minus 17 is equal to 32 times X minus two and we get why is equal to 32 x What s 47?

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